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Finding the Fourth Proportional to 114,714.69, 158,438.73 and 76,411.14

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Solution

The fourth proportional to 114,714.69, 158,438.73 and 76,411.14 is: 105,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,714.69 : 158,438.73 = 76,411.14 : x
  2. Step 2: Convert to fraction form
    114,714.69/158,438.73 = 76,411.14/x
  3. Step 3: Cross multiply
    114,714.69x = 158,438.73 × 76,411.14
  4. Step 4: Simplify right side
    114,714.69x = 12,106,483,187.26
  5. Step 5: Solve for x
    x = 12,106,483,187.26/114,714.69
  6. Step 6: Final answer
    x = 105,535.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.